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<br> <h1> Link to the source code for this example: </h1>
<a href="https://github.com/libMesh/libmesh/tree/master/examples/miscellaneous/miscellaneous_ex4" target="_blank">Open miscellaneous_ex4 in new tab.</a>
<a name="output"></a> 
<br><br><br> <h1> The console output of the program: </h1> 
<pre>
***************************************************************
* Running Example miscellaneous_ex4:
*   example-opt  
***************************************************************
 
Running: /Users/petejw/projects/libmesh_git/build/examples/miscellaneous/miscellaneous_ex4/.libs/example-opt

 EquationSystems
  n_systems()=1
   System #0, "System"
    Type "LinearImplicit"
    Variables="u" 
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="FIRST", "THIRD" 
    n_dofs()=289
    n_local_dofs()=289
    n_constrained_dofs()=0
    n_local_constrained_dofs()=0
    n_vectors()=3
    n_matrices()=2
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 8.30796
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 9
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 0

 EquationSystems
  n_systems()=1
   System #0, "System"
    Type "LinearImplicit"
    Variables="u" 
    Finite Element Types="LAGRANGE", "JACOBI_20_00" 
    Infinite Element Mapping="CARTESIAN" 
    Approximation Orders="FIRST", "THIRD" 
    n_dofs()=2093
    n_local_dofs()=2093
    n_constrained_dofs()=458
    n_local_constrained_dofs()=458
    n_vectors()=3
    n_matrices()=2
    DofMap Sparsity
      Average  On-Processor Bandwidth <= 9.57334
      Average Off-Processor Bandwidth <= 0
      Maximum  On-Processor Bandwidth <= 19
      Maximum Off-Processor Bandwidth <= 0
    DofMap Constraints
      Number of DoF Constraints = 458
      Average DoF Constraint Length= 2

Solved linear system in 31 iterations, residual norm is 2.15712e-07.

 -------------------------------------------------------------------------------------------------------------------
| Time:           Wed Apr 13 09:34:45 2016                                                                          |
| OS:             Darwin                                                                                            |
| HostName:       peterson-laptop.local                                                                             |
| OS Release:     15.0.0                                                                                            |
| OS Version:     Darwin Kernel Version 15.0.0: Sat Sep 19 15:53:46 PDT 2015; root:xnu-3247.10.11~1/RELEASE_X86_64  |
| Machine:        x86_64                                                                                            |
| Username:       petejw                                                                                            |
| Configuration:  ../configure  'INSTALL=/usr/bin/install -C'                                                       |
|  '--with-methods=opt dbg'                                                                                         |
|  '--prefix=/Users/petejw/projects/libmesh_git/installed'                                                          |
|  '--enable-perflog'                                                                                               |
|  '--enable-tracefiles'                                                                                            |
|  '--disable-blocked-storage'                                                                                      |
|  '--enable-default-comm-world'                                                                                    |
|  '--enable-tecio'                                                                                                 |
|  '--enable-unique-ptr'                                                                                            |
|  '--enable-ifem'                                                                                                  |
|  'PETSC_DIR=/opt/moose/petsc/mpich_petsc-3.6.1/clang-opt-superlu'                                                 |
|  'SLEPC_DIR=/opt/petejw/slepc/3.6.1'                                                                              |
|  'CPPFLAGS= '                                                                                                     |
|  'LIBS= '                                                                                                         |
|  'CPPFLAGS=  '                                                                                                    |
|  'LIBS=  '                                                                                                        |
|  '--disable-netcdf-4'                                                                                             |
|  '--disable-testsets'                                                                                             |
|  'CXX=mpicxx'                                                                                                     |
|  'CC=mpicc'                                                                                                       |
|  'F77=mpif77'                                                                                                     |
|  'FC=mpif90'                                                                                                      |
|  'CPPFLAGS=   '                                                                                                   |
|  'LIBS=   '                                                                                                       |
 -------------------------------------------------------------------------------------------------------------------
 -----------------------------------------------------------------------------------------------------------------
| libMesh Performance: Alive time=0.195673, Active time=0.177285                                                  |
 -----------------------------------------------------------------------------------------------------------------
| Event                              nCalls     Total Time  Avg Time    Total Time  Avg Time    % of Active Time  |
|                                               w/o Sub     w/o Sub     With Sub    With Sub    w/o S    With S   |
|-----------------------------------------------------------------------------------------------------------------|
|                                                                                                                 |
|                                                                                                                 |
| DofMap                                                                                                          |
|   add_neighbors_to_send_list()     3          0.0005      0.000157    0.0005      0.000157    0.27     0.27     |
|   build_constraint_matrix()        3590       0.0020      0.000001    0.0020      0.000001    1.13     1.13     |
|   build_sparsity()                 3          0.0055      0.001846    0.0062      0.002063    3.12     3.49     |
|   cnstrn_elem_dyad_mat()           1795       0.0005      0.000000    0.0005      0.000000    0.29     0.29     |
|   cnstrn_elem_mat_vec()            1795       0.0009      0.000001    0.0009      0.000001    0.52     0.52     |
|   create_dof_constraints()         3          0.0016      0.000525    0.0021      0.000703    0.89     1.19     |
|   distribute_dofs()                3          0.0005      0.000168    0.0026      0.000857    0.28     1.45     |
|   dof_indices()                    11759      0.0019      0.000000    0.0019      0.000000    1.05     1.05     |
|   enforce_constraints_exactly()    2          0.0002      0.000086    0.0002      0.000086    0.10     0.10     |
|   old_dof_indices()                7404       0.0017      0.000000    0.0017      0.000000    0.95     0.95     |
|   prepare_send_list()              4          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|   reinit()                         3          0.0021      0.000689    0.0021      0.000689    1.17     1.17     |
|                                                                                                                 |
| FE                                                                                                              |
|   compute_shape_functions()        7913       0.0033      0.000000    0.0033      0.000000    1.89     1.89     |
|   init_shape_functions()           6119       0.0286      0.000005    0.0286      0.000005    16.14    16.14    |
|   inverse_map()                    10760      0.0039      0.000000    0.0039      0.000000    2.18     2.18     |
|                                                                                                                 |
| FEMap                                                                                                           |
|   compute_affine_map()             7913       0.0079      0.000001    0.0079      0.000001    4.43     4.43     |
|   compute_face_map()               136        0.0001      0.000001    0.0002      0.000002    0.07     0.13     |
|   init_face_shape_functions()      1          0.0000      0.000002    0.0000      0.000002    0.00     0.00     |
|   init_reference_to_physical_map() 6119       0.0122      0.000002    0.0122      0.000002    6.86     6.86     |
|                                                                                                                 |
| GenericProjector                                                                                                |
|   copy_dofs                        416        0.0002      0.000000    0.0009      0.000002    0.10     0.49     |
|   operator()                       2          0.0041      0.002067    0.1365      0.068249    2.33     76.99    |
|   project_edges                    2052       0.0001      0.000000    0.0001      0.000000    0.08     0.08     |
|   project_interior                 2052       0.0001      0.000000    0.0001      0.000000    0.07     0.07     |
|   project_nodes                    2052       0.0037      0.000002    0.1291      0.000063    2.08     72.82    |
|   project_sides                    2052       0.0001      0.000000    0.0001      0.000000    0.07     0.07     |
|                                                                                                                 |
| Mesh                                                                                                            |
|   contract()                       2          0.0001      0.000028    0.0001      0.000052    0.03     0.06     |
|   find_neighbors()                 3          0.0054      0.001813    0.0054      0.001813    3.07     3.07     |
|   renumber_nodes_and_elem()        8          0.0002      0.000019    0.0002      0.000019    0.09     0.09     |
|                                                                                                                 |
| MeshRefinement                                                                                                  |
|   _coarsen_elements()              2          0.0000      0.000020    0.0000      0.000020    0.02     0.02     |
|   _refine_elements()               4          0.0028      0.000707    0.0053      0.001332    1.59     3.00     |
|   add_node()                       8208       0.0018      0.000000    0.0018      0.000000    1.02     1.02     |
|   make_coarsening_compatible()     2          0.0004      0.000197    0.0004      0.000197    0.22     0.22     |
|   make_flags_parallel_consistent() 6          0.0004      0.000067    0.0004      0.000067    0.23     0.23     |
|   make_refinement_compatible()     5          0.0001      0.000030    0.0001      0.000030    0.08     0.08     |
|                                                                                                                 |
| MeshTools::Generation                                                                                           |
|   build_cube()                     1          0.0002      0.000153    0.0002      0.000153    0.09     0.09     |
|                                                                                                                 |
| OldSolutionValue                                                                                                |
|   Number eval_at_node()            8208       0.0005      0.000000    0.0005      0.000000    0.30     0.30     |
|   check_old_context(c)             416        0.0003      0.000001    0.0005      0.000001    0.15     0.30     |
|   check_old_context(c,p)           5982       0.0034      0.000001    0.0065      0.000001    1.91     3.65     |
|   eval_at_point()                  5982       0.0618      0.000010    0.1237      0.000021    34.84    69.77    |
|   eval_old_dofs()                  416        0.0001      0.000000    0.0006      0.000002    0.05     0.36     |
|                                                                                                                 |
| Parallel                                                                                                        |
|   allgather()                      3          0.0000      0.000000    0.0000      0.000000    0.00     0.00     |
|                                                                                                                 |
| Partitioner                                                                                                     |
|   single_partition()               3          0.0001      0.000033    0.0001      0.000033    0.06     0.06     |
|                                                                                                                 |
| PetscLinearSolver                                                                                               |
|   solve()                          1          0.0078      0.007846    0.0078      0.007846    4.43     4.43     |
|                                                                                                                 |
| System                                                                                                          |
|   assemble()                       1          0.0062      0.006215    0.0130      0.012983    3.51     7.32     |
|   project_vector(old,new)          2          0.0015      0.000757    0.1390      0.069478    0.85     78.38    |
|                                                                                                                 |
| TopologyMap                                                                                                     |
|   init()                           4          0.0025      0.000626    0.0025      0.000626    1.41     1.41     |
 -----------------------------------------------------------------------------------------------------------------
| Totals:                            103210     0.1773                                          100.00            |
 -----------------------------------------------------------------------------------------------------------------

 
***************************************************************
* Done Running Example miscellaneous_ex4:
*   example-opt  
***************************************************************
</pre>
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